What is the Least Common Multiple of 19838 and 19856?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 19838 and 19856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19838 and 19856, than apply into the LCM equation.

GCF(19838,19856) = 2
LCM(19838,19856) = ( 19838 × 19856) / 2
LCM(19838,19856) = 393903328 / 2
LCM(19838,19856) = 196951664

Least Common Multiple (LCM) of 19838 and 19856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19838 and 19856. First we will calculate the prime factors of 19838 and 19856.

Prime Factorization of 19838

Prime Factorization of 19856

Now multiplying the highest exponent prime factors to calculate the LCM of 19838 and 19856.

LCM(19838,19856) = 2⁴ × 7¹ × 13¹ × 109¹ × 17¹ × 73¹
LCM(19838,19856) = 196951664